Volume of Cylinder

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does the term 'diameter' refer to in a cylinder?

Back

The diameter is the distance across the circular base of the cylinder, passing through the center.

Front

If the diameter of a cylinder is 10 inches, what is the radius?

Back

The radius is 5 inches, which is half of the diameter.

Tags

CCSS.7.G.B.4

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 5 inches?

Back

V = π(3)²(5) = 45π ≈ 141.37 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the relationship between diameter and radius?

Back

The radius is half of the diameter.

Tags

CCSS.7.G.B.4

Front

What is the approximate value of π (pi)?

Back

π is approximately 3.14.

Tags

CCSS.HSG.GMD.A.1

Front

How do you calculate the volume of a cylinder if you only know the diameter?

Back

First, find the radius by dividing the diameter by 2, then use the formula V = πr²h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cylinder with a height of 10 inches and a radius of 4 inches?

Back

V = π(4)²(10) = 160π ≈ 502.65 cubic inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the significance of volume in real-world applications?

Back

Volume measures the amount of space an object occupies, important for storage, shipping, and capacity.

Front

If a cylinder has a volume of 100 cubic inches and a height of 5 inches, what is the radius?

Back

Using V = πr²h, r = √(100/(5π)) ≈ 2.52 inches.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3